A bi-Hamiltonian supersymmetric geodesic equation
Mathematical Physics
2010-03-09 v1 math.MP
Abstract
A supersymmetric extension of the Hunter-Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric.
Cite
@article{arxiv.0806.4793,
title = {A bi-Hamiltonian supersymmetric geodesic equation},
author = {Jonatan Lenells},
journal= {arXiv preprint arXiv:0806.4793},
year = {2010}
}
Comments
9 pages, no figures